Abstract
The semigroups of unital extensions of separable C∗-algebras come in two flavours: a strong and a weak version. By the unital Ext-groups, we mean the groups of invertible elements in these semigroups. We use the unital Ext-groups to obtain K-theoretic classification of both unital and non-unital extensions of C∗-algebras, and in particular we obtain a complete K-theoretic classification of full extensions of UCT Kirchberg algebras by stable AF algebras.
Original language | English |
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Journal | Glasgow Mathematical Journal |
Volume | 62 |
Issue number | 1 |
Pages (from-to) | 201-231 |
ISSN | 0017-0895 |
DOIs | |
Publication status | Published - Jan 2020 |
Externally published | Yes |
Keywords
- 2010 Mathematics Subject Classification 46L3546L80